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Finding the Fourth Proportional to 522.60, 782.62 and 351.08

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Solution

The fourth proportional to 522.60, 782.62 and 351.08 is: 525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 782.62 = 351.08 : x
  2. Step 2: Convert to fraction form
    522.60/782.62 = 351.08/x
  3. Step 3: Cross multiply
    522.60x = 782.62 × 351.08
  4. Step 4: Simplify right side
    522.60x = 274,762.23
  5. Step 5: Solve for x
    x = 274,762.23/522.60
  6. Step 6: Final answer
    x = 525.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.